The generator matrix

 1  0  0  0  1  1  1  X  1  1  1  1  1 3X+2 2X  1  1
 0  1  0  0 2X+2 2X+1 2X+3  1 3X+2 3X+1 2X+3 3X  X 2X+2  1 X+1  0
 0  0  1  0 2X+3  1 2X+2 X+1  3 X+2 X+3  X  0  1 3X+3 2X  0
 0  0  0  1  1 2X+2 3X+3  1 X+2 3X X+1 3X+3  2 X+3 3X  1  0
 0  0  0  0 2X  0 2X 2X  0 2X  0  0 2X  0  0 2X 2X

generates a code of length 17 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+195x^12+1046x^13+4460x^14+12122x^15+28964x^16+37148x^17+29540x^18+12148x^19+4177x^20+1006x^21+236x^22+18x^23+7x^24+4x^26

The gray image is a code over GF(2) with n=136, k=17 and d=48.
This code was found by Heurico 1.16 in 22.9 seconds.